diff --git a/⚪ᗩ⚪I⚪ᗝ⚪І⚪Ẏ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪Ẏ⚪І⚪ᗝ⚪I⚪ᗩ⚪/⚪✤⚪ᴥ⚪ᗩ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗩ⚪ᴥ⚪✤⚪/⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪Ⓞ⚪ꗳ⚪✤⚪ᗯ⚪ᗩ⚪ᴥ⚪ᗱᗴ⚪/⚪ЭЄ⚪ᗩ⚪Н⚪ߦ⚪ᗱᗴ⚪ᙏ⚪ЭЄ⚪Ⓞ⚪Ẏ⚪ᗝ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗝ⚪Ẏ⚪Ⓞ⚪ЭЄ⚪ᙏ⚪ᗱᗴ⚪ߦ⚪Н⚪ᗩ⚪ЭЄ⚪/⚪ᗱᗴ⚪ᕤᕦ⚪ᗩ⚪ᑎ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᙁ⚪◯⚪ߦ⚪ᑎ⚪✻⚪ᴥ⚪ᗩ⚪ᙏ⚪◯⚪✤⚪ꕤ⚪ᗱᗴ⚪✤⚪ᴥ⚪ᗱᗴ⚪ߦ⚪人⚪옷⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪옷⚪人⚪ߦ⚪ᗱᗴ⚪ᴥ⚪✤⚪ᗱᗴ⚪ꕤ⚪✤⚪◯⚪ᙏ⚪ᗩ⚪ᴥ⚪✻⚪ᑎ⚪ߦ⚪◯⚪ᙁ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᑎ⚪ᗩ⚪ᕤᕦ⚪ᗱᗴ⚪/LMTH.⚪ᴥᗱᗴ✤Ⓞᙁߦ⚪ᗱᗴᴥᑎ✤ᗩᗯᴥᑎᑐᑕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᑐᑕᑎᴥᗯᗩ✤ᑎᴥᗱᗴ⚪ߦᙁⓄ✤ᗱᗴᴥ⚪.HTML b/⚪ᗩ⚪I⚪ᗝ⚪І⚪Ẏ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪Ẏ⚪І⚪ᗝ⚪I⚪ᗩ⚪/⚪✤⚪ᴥ⚪ᗩ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗩ⚪ᴥ⚪✤⚪/⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪Ⓞ⚪ꗳ⚪✤⚪ᗯ⚪ᗩ⚪ᴥ⚪ᗱᗴ⚪/⚪ЭЄ⚪ᗩ⚪Н⚪ߦ⚪ᗱᗴ⚪ᙏ⚪ЭЄ⚪Ⓞ⚪Ẏ⚪ᗝ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗝ⚪Ẏ⚪Ⓞ⚪ЭЄ⚪ᙏ⚪ᗱᗴ⚪ߦ⚪Н⚪ᗩ⚪ЭЄ⚪/⚪ᗱᗴ⚪ᕤᕦ⚪ᗩ⚪ᑎ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᙁ⚪◯⚪ߦ⚪ᑎ⚪✻⚪ᴥ⚪ᗩ⚪ᙏ⚪◯⚪✤⚪ꕤ⚪ᗱᗴ⚪✤⚪ᴥ⚪ᗱᗴ⚪ߦ⚪人⚪옷⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪옷⚪人⚪ߦ⚪ᗱᗴ⚪ᴥ⚪✤⚪ᗱᗴ⚪ꕤ⚪✤⚪◯⚪ᙏ⚪ᗩ⚪ᴥ⚪✻⚪ᑎ⚪ߦ⚪◯⚪ᙁ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᑎ⚪ᗩ⚪ᕤᕦ⚪ᗱᗴ⚪/LMTH.⚪ᴥᗱᗴ✤Ⓞᙁߦ⚪ᗱᗴᴥᑎ✤ᗩᗯᴥᑎᑐᑕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᑐᑕᑎᴥᗯᗩ✤ᑎᴥᗱᗴ⚪ߦᙁⓄ✤ᗱᗴᴥ⚪.HTML
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+++ b/⚪ᗩ⚪I⚪ᗝ⚪І⚪Ẏ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪Ẏ⚪І⚪ᗝ⚪I⚪ᗩ⚪/⚪✤⚪ᴥ⚪ᗩ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗩ⚪ᴥ⚪✤⚪/⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪Ⓞ⚪ꗳ⚪✤⚪ᗯ⚪ᗩ⚪ᴥ⚪ᗱᗴ⚪/⚪ЭЄ⚪ᗩ⚪Н⚪ߦ⚪ᗱᗴ⚪ᙏ⚪ЭЄ⚪Ⓞ⚪Ẏ⚪ᗝ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗝ⚪Ẏ⚪Ⓞ⚪ЭЄ⚪ᙏ⚪ᗱᗴ⚪ߦ⚪Н⚪ᗩ⚪ЭЄ⚪/⚪ᗱᗴ⚪ᕤᕦ⚪ᗩ⚪ᑎ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᙁ⚪◯⚪ߦ⚪ᑎ⚪✻⚪ᴥ⚪ᗩ⚪ᙏ⚪◯⚪✤⚪ꕤ⚪ᗱᗴ⚪✤⚪ᴥ⚪ᗱᗴ⚪ߦ⚪人⚪옷⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪옷⚪人⚪ߦ⚪ᗱᗴ⚪ᴥ⚪✤⚪ᗱᗴ⚪ꕤ⚪✤⚪◯⚪ᙏ⚪ᗩ⚪ᴥ⚪✻⚪ᑎ⚪ߦ⚪◯⚪ᙁ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᑎ⚪ᗩ⚪ᕤᕦ⚪ᗱᗴ⚪/LMTH.⚪ᴥᗱᗴ✤Ⓞᙁߦ⚪ᗱᗴᴥᑎ✤ᗩᗯᴥᑎᑐᑕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᑐᑕᑎᴥᗯᗩ✤ᑎᴥᗱᗴ⚪ߦᙁⓄ✤ᗱᗴᴥ⚪.HTML
@@ -0,0 +1,147 @@
+<!DOCTYPE html>
+<html>
+<head>
+ <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/12.1.0/math.js"></script>
+ <script src="https://cdn.plot.ly/plotly-latest.min.js"></script>
+ <style>
+ input[type=text]{
+ --O_ROLOC_O_COLOR_O:#F2F2F2;
+ --O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
+ --O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
+ BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
+ BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:VISIBLE
+ }
+ input[type=text]:focus{
+ border-color: #CECECE;BORDER-WIDTH:0PX;border-style: solid;outline: 1PX SOLID #E7E7E7;
+ }
+ input[type=range]::-moz-range-track {
+ HEIGHT:0PX;
+ --O_ROLOC_O_COLOR_O:#F2F2F2;
+ --O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
+ --O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
+ BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
+ BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN
+ }
+
+ input[type=range]::-moz-range-thumb {
+ HEIGHT:16PX;WIDTH:16PX;
+ --O_ROLOC_O_COLOR_O:#F2F2F2;
+ --O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
+ --O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
+ BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
+ BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN
+ }
+ </style>
+</head>
+<body style="background:#FFFFFF;font-size:16px;MARGIN:0;COLOR:#CECECE">
+<div align="center">
+ 𓊗<br><span id="nVal"></span><br><input type="range" id="n" min="1" max="16" value="8" style="width:100%"><br>
+ ✤<br><span id="toVal"></span><br><input type="range" id="to" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br>
+ ꗳ<br><span id="fromVal"></span><br><input type="range" id="from" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="-6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br>
+ <input type="text" id="formula" value="(1-cos(x*(4)/2))/2 ; acos(cos(x*(4)/2))/pi" style="width:100%; text-align:CENTER;COLOR:#CECECE;FONT-SIZE:16PX"><br>
+ <div id="k-graph"></div>
+ <div id="function-graph"></div>
+ <script>
+ function clamp(x) {return math.max(math.min(x,1),0)}
+
+ // JS equivalent for the map function
+ function arrayMax(arr) {
+ return Math.max(...arr.map(e => Math.max(...e)));
+ }
+ function arrayMin(arr) {
+ return Math.min(...arr.map(e => Math.min(...e)));
+ }
+
+ function plot() {
+ var formulas = document.getElementById('formula').value.split(";");
+ var fromPIO2 = Number(document.getElementById('from').value);
+ var toPIO2 = Number(document.getElementById('to').value);
+ var N = Number(document.getElementById('n').value);
+
+ var num_points = 0 + 2 ** N;
+ document.getElementById('fromVal').innerText = +fromPIO2;
+ document.getElementById('toVal').innerText = +toPIO2;
+ document.getElementById('nVal').innerText = +N;
+
+ var from = fromPIO2;
+ var to = toPIO2;
+
+ var step = (to - from) / num_points;
+ var x_vals = math.range(from, to, step, true).toArray();
+
+ var k_trace = [];
+ var function_trace = [];
+
+ var all_x = [];
+ var all_y = [];
+
+ formulas.map((formula, i) => {
+ var scope = {
+ clamp: function(x) { return math.max(math.min(x, 1), 0); }
+ };
+ var kappa_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
+ var theta_vals = math.map(math.cumsum(kappa_vals), x => x * step);
+ var x_coords = math.map(math.cumsum(math.map(theta_vals, math.cos)), x => x * step);
+ var y_coords = math.map(math.cumsum(math.map(theta_vals, math.sin)), x => x * step);
+
+ if (x_coords[0] != 0 || y_coords[0] != 0) {
+ x_coords.unshift(0);
+ y_coords.unshift(0);
+ }
+
+ k_trace.push({
+ x: x_coords,
+ y: y_coords,
+ mode: 'lines',
+ // line: { color: '#CECECE' }
+ line: {width: 1},
+ hovertemplate: 'X:%{x:.256f}' + '<br>Y:%{y:.256f}',
+ name: ''
+ });
+
+ all_x.push(x_coords);
+ all_y.push(y_coords);
+
+ // Now creating the trace for y=f(x)
+ var y_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
+
+ function_trace.push({
+ x: x_vals,
+ y: y_vals,
+ mode: 'lines',
+ // optional features
+ // line: { color: '#CECECE' }
+ line: {width: 1},
+ hovertemplate: 'X:%{x:.256f}' + '<br>Y:%{y:.256f}',
+ name: ''
+ });
+
+ all_x.push(x_vals);
+ all_y.push(y_vals);
+ });
+
+ var layout = {
+ margin: { l: 0, r: 0, b: 0, t: 0, pad: 0 },
+ autosize: true,
+ height: 312,
+ xaxis: {scaleanchor:'y',scaleratio: 1, showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:true ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16}},
+ yaxis: {range: [arrayMin(all_y), arrayMax(all_y)],showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:true ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16}},
+ hovermode: 'closest',
+ showlegend: false,
+ hoverlabel: { bgcolor: "#FFFFFF", font_color: '#9C9C9C', bordercolor: "#CECECE", font_size: 16 }
+ }
+
+ Plotly.newPlot('k-graph', k_trace, layout);
+ Plotly.newPlot('function-graph', function_trace, layout);
+ }
+
+ plot();
+
+ document.getElementById('formula').addEventListener('input', plot);
+ document.getElementById('from').addEventListener('input', plot);
+ document.getElementById('to').addEventListener('input', plot);
+ document.getElementById('n').addEventListener('input', plot);
+ </script>
+</div>
+</body>
+</html>
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